Abstract
The mechanism and condition of appearance of order in chaos with Gaussian white noise is investigated based on the Poincare return map constructed from the three-variables ODE of the Belousov-Zhabotinsky reaction. When the noise is added to the chaos having the bifurcation parameter near period-three oscillation, it occasionally happens that topological entropy is constant but the Kolmogorov entropy decreases. Analysis on three-times iterated map reveals that this phenomenon, named “noise-induced convergence”, is caused by an increase of the length of laminar phase and the subsequent change of the invariant density. The same phenomenon is observed in m-times iterated map of the chaos of the logistic map. We consider that “noise-induced convergence” is characteristic of intermittent chaos.
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